Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration(Conference Paper)
This paper presents the application of a half-sweep iteration concept to the Grünwald implicit difference schemes with the Kaudd Successive Over-Relaxation (KSOR) iterative method in solving one-dimensional linear time-fractional parabolic equations. The formulation and implementation of the propose...
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my.ums.eprints.268192021-04-27T06:24:06Z https://eprints.ums.edu.my/id/eprint/26819/ Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration(Conference Paper) Muhiddin, F.A. Jumat Bin Sulaiman Sunarto, A. Q Science (General) QA Mathematics This paper presents the application of a half-sweep iteration concept to the Grünwald implicit difference schemes with the Kaudd Successive Over-Relaxation (KSOR) iterative method in solving one-dimensional linear time-fractional parabolic equations. The formulation and implementation of the proposed methods are discussed. In order to validate the performance of HSKSOR, comparisons are made with another two iterative methods, full-sweep KSOR (FSKSOR) and Gauss-Seidel (FSGS) iterative methods. Based on the numerical results of three tested examples, it shows that the HSKSOR is superior compared to FSKSOR and FSGS iterative methods. © Published under licence by IOP Publishing Ltd. Institute of Physics Publishing 2020 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/26819/1/Gr%C3%BCnwald%20Implicit%20Solution%20of%20One-Dimensional%20Time-Fractional%20Parabolic%20Equations%20Using%20HSKSOR%20Iteration%28Conference%20Paper%29.pdf Muhiddin, F.A. and Jumat Bin Sulaiman and Sunarto, A. (2020) Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration(Conference Paper). Journal of Physics: Conference Series, 1489 (1). ISSN 1742-6588 https://www.scopus.com/record/display.uri?eid=2-s2.0-85083206645&origin=inward&txGid=fa59a0dd7790ae28a8b1c143c24700dc |
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This paper presents the application of a half-sweep iteration concept to the Grünwald implicit difference schemes with the Kaudd Successive Over-Relaxation (KSOR) iterative method in solving one-dimensional linear time-fractional parabolic equations. The formulation and implementation of the proposed methods are discussed. In order to validate the performance of HSKSOR, comparisons are made with another two iterative methods, full-sweep KSOR (FSKSOR) and Gauss-Seidel (FSGS) iterative methods. Based on the numerical results of three tested examples, it shows that the HSKSOR is superior compared to FSKSOR and FSGS iterative methods. © Published under licence by IOP Publishing Ltd. |
format |
Article |
author |
Muhiddin, F.A. Jumat Bin Sulaiman Sunarto, A. |
author_facet |
Muhiddin, F.A. Jumat Bin Sulaiman Sunarto, A. |
author_sort |
Muhiddin, F.A. |
title |
Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration(Conference Paper) |
title_short |
Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration(Conference Paper) |
title_full |
Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration(Conference Paper) |
title_fullStr |
Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration(Conference Paper) |
title_full_unstemmed |
Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration(Conference Paper) |
title_sort |
grünwald implicit solution of one-dimensional time-fractional parabolic equations using hsksor iteration(conference paper) |
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Institute of Physics Publishing |
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2020 |
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https://eprints.ums.edu.my/id/eprint/26819/1/Gr%C3%BCnwald%20Implicit%20Solution%20of%20One-Dimensional%20Time-Fractional%20Parabolic%20Equations%20Using%20HSKSOR%20Iteration%28Conference%20Paper%29.pdf https://eprints.ums.edu.my/id/eprint/26819/ https://www.scopus.com/record/display.uri?eid=2-s2.0-85083206645&origin=inward&txGid=fa59a0dd7790ae28a8b1c143c24700dc |
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1760230547607519232 |
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13.18916 |